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Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. This book gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.
It is eleven years since the First Edition of Geometry of Crystallographic Groups appeared. This Second Edition expands on the first, providing details of a new result of automorphism of crystallographic groups, and on Hantzsche-Wendt groups/manifolds.Crystalographic groups are groups which act via isometries on some n-dimensional Euclidean space, so-named because in three dimensions they occur as the symmetry groups of a crystal. There are short introductions to the theme before every chapter, and a list of conjectures and open projects at the end of the book.Geometry of Crystallographic Groups is suitable as a textbook for students, containing basic theory of crystallographic groups. It is also suitable for researchers in the field, discussing in its second half more advanced and recent topics.
Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.
This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.
River Basin Management is a collection of papers presented at a conference on implementation of the EU Water Framework Directive, held in Budapest in May 2005. The Water Framework Directive requires progressive protection and enhancement to rivers, lakes, estuaries, coastal waters and wetlands by the year 2015. At the heart of this major new piece of legislation is the requirement for all EU member states to prepare river basin management plans for all river basin catchments, providing the basis for coordinated improvements to water management, leading to better water quality and sustainable aquatic environments in lakes and rivers. The papers cover a wide range of topics including pilot stu...
These volumes teach readers to think beyond apoptosis and describes all of the known processes that cells can undergo which result in cell death This two-volume source on how cells dies is the first, comprehensive collection to cover all of the known processes that cells undergo when they die. It is also the only one of its kind to compare these processes. It seeks to enlighten those in the field about these many processes and to stimulate their thinking at looking at these pathways when their research system does not show signs of activation of the classic apoptotic pathway. In addition, it links activities like the molecular biology of one process (eg. Necrosis) to another process (eg. apo...
Vol. 25:1/2 includes papers from the 2nd International Symposium on Paleolimnology held near Mikotajki, Poland, September 14-17, 1976.